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We study the problem of designing posted-price mechanisms in order to sell a single unit of a single item within a finite period of time. Motivated by real-world problems, such as, e.g., long-term rental of rooms and apartments, we assume…

Computer Science and Game Theory · Computer Science 2020-12-11 Giulia Romano , Gianluca Tartaglia , Alberto Marchesi , Nicola Gatti

We study the problem of sorting under incomplete information, when queries are used to resolve uncertainties. Each of $n$ data items has an unknown value, which is known to lie in a given interval. We can pay a query cost to learn the…

Data Structures and Algorithms · Computer Science 2021-04-16 Magnús M. Halldórsson , Murilo S. de Lima

In this paper, we consider an online resource allocation problem where a decision maker accepts or rejects incoming customer requests irrevocably in order to maximize expected reward given limited resources. At each time, a new…

Data Structures and Algorithms · Computer Science 2022-05-03 Guanting Chen , Xiaocheng Li , Yinyu Ye

We study the minimum-cost metric perfect matching problem under online i.i.d arrivals. We are given a fixed metric with a server at each of the points, and then requests arrive online, each drawn independently from a known probability…

Data Structures and Algorithms · Computer Science 2019-04-22 Anupam Gupta , Guru Guruganesh , Binghui Peng , David Wajc

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We study the discrete bin covering problem where a multiset of items from a fixed set $S \subseteq (0,1]$ must be split into disjoint subsets while maximizing the number of subsets whose contents sum to at least $1$. We study the online…

Data Structures and Algorithms · Computer Science 2024-01-29 Magnus Berg , Shahin Kamali

The bounded delay buffer management problem, which was proposed by Kesselman et~al.\ (STOC 2001 and SIAM Journal on Computing 33(3), 2004), is an online problem focusing on buffer management of a switch supporting Quality of Service (QoS).…

Data Structures and Algorithms · Computer Science 2018-07-03 Koji M. Kobayashi

We study a variant of the competitive facility location problem, in which a company is to locate new facilities in a market where competitor's facilities already exist. We consider the scenario where only a limited number of possible…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Qingyun Tian

We consider the optimal online packet scheduling problem in a single-user energy harvesting wireless communication system, where energy is harvested from natural renewable sources, making future energy arrivals instants and amounts random…

Information Theory · Computer Science 2012-11-22 Rahul Vaze

We consider a stochastic online problem where $n$ applicants arrive over time, one per time step. Upon arrival of each applicant their cost per time step is revealed, and we have to fix the duration of employment, starting immediately. This…

Data Structures and Algorithms · Computer Science 2017-05-31 Yann Disser , John Fearnley , Martin Gairing , Oliver Göbel , Max Klimm , Daniel Schmand , Alexander Skopalik , Andreas Tönnis

Design and analysis of constant competitive deterministic semi-online algorithms for the multi-processor scheduling problem with small number of identical machines have gained significant research interest in the last two decades. In the…

Data Structures and Algorithms · Computer Science 2021-06-10 Debasis Dwibedy , Rakesh Mohanty

We study the online bounded-delay packet scheduling problem (BDPS), where packets of unit size arrive at a router over time and need to be transmitted over a network link. Each packet has two attributes: a non-negative weight and a deadline…

Data Structures and Algorithms · Computer Science 2016-07-01 Martin Böhm , Marek Chrobak , Łukasz Jeż , Fei Li , Jiří Sgall , Pavel Veselý

We study online competitive algorithms for the \emph{line chasing problem} in Euclidean spaces $\reals^d$, where the input consists of an initial point $P_0$ and a sequence of lines $X_1,X_2,...,X_m$, revealed one at a time. At each step…

Data Structures and Algorithms · Computer Science 2019-09-23 Marcin Bienkowski , Jarosław Byrka , Marek Chrobak , Christian Coester , Łukasz Jeż , Elias Koutsoupias

We study the online multi-class selection problem with group fairness guarantees, where limited resources must be allocated to sequentially arriving agents. Our work addresses two key limitations in the existing literature. First, we…

Machine Learning · Computer Science 2025-10-27 Faraz Zargari , Hossein Nekouyan , Lyndon Hallett , Bo Sun , Xiaoqi Tan

We consider the online convex optimization (OCO) problem with quadratic and linear switching cost in the limited information setting, where an online algorithm can choose its action using only gradient information about the previous…

Machine Learning · Computer Science 2023-10-19 Spandan Senapati , Rahul Vaze

This paper combines two key ingredients for online algorithms - competitive analysis (e.g. the competitive ratio) and advice complexity (e.g. the number of advice bits needed to improve online decisions) - in the context of a simple online…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

Online decision-makers often obtain predictions on future variables, such as arrivals, demands, inventories, and so on. These predictions can be generated from simple forecasting algorithms for univariate time-series, all the way to…

Optimization and Control · Mathematics 2024-06-25 Lin An , Andrew A. Li , Benjamin Moseley , Gabriel Visotsky

We consider Online Minimum Bipartite Matching under the uniform metric. We show that Randomized Greedy achieves a competitive ratio equal to $(1+1/n) (H_{n+1}-1)$, which matches the lower bound. Comparing with the fact that RG achieves an…

Data Structures and Algorithms · Computer Science 2021-12-13 Sharmila Duppala , Karthik A. Sankararaman , Pan Xu

Algorithms with predictions have attracted much attention in the last years across various domains, including variants of facility location, as a way to surpass traditional worst-case analyses. We study the $k$-facility location mechanism…

Computer Science and Game Theory · Computer Science 2024-03-20 Zohar Barak , Anupam Gupta , Inbal Talgam-Cohen
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